Quantal Conserved Charges in Gauge Theory

Gao Haixiao; Li Ziping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1997, Vol. 21> Issue(6) : 506-512

Quantal Conserved Charges in Gauge Theory

Gao Haixiao ^, ,
Li Ziping

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

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Abstract：
Starting from the configuration-space generating functional for gauge theory obtained by using the Faddeev-Popov method,the conservation laws at the quantum level for the gauge-invariant system are derived.Appling to non-Abel Chern-Simons(CS)theory,the quantum BRS conserved charge and quantuml conserved angular momentum for the non-Abelian CS fields coupled to Fermion field are deduced.The property of fractional spin in CS theory is discussed.

References

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J.K.Kim,W.T.Kim,H.Shin,J.Phys,A:Math.Gen.,27（1994）6067.[2]R.Banerjee,Nucl.Phys,B419（1994.）611[3]A.Lerda.Anyons,Springer-Verlag,Berlin,1992.[4]M.M.Mizrahi,J.Math.Phys.,19（1978）298.[5]Li.Ziping,Science in China（Series A）,39（1996）738[6]李子平，经典和量子约束系统及其对称性质，北京工业大学出版社，1993年[7]B.L.Young,Introduction to Quantum Field Theories,Science Press,Beijing,1987.[8]A.Foussats,E.Manavellat,C.Repetto et al,Int.J.Theor,Phys.,34（1995）1037.[9]李子平，高能物是与核物理，19（1995）1012.[10]李子平，高能物理与核物理，21（1997）34[11]A.Antilon,J.Escalona,G.German et al.Phys.Lett,B359（1995）327.

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Gao Haixiao and Li Ziping. Quantal Conserved Charges in Gauge Theory[J]. Chinese Physics C, 1997, 21(6): 506-512.

Gao Haixiao and Li Ziping. Quantal Conserved Charges in Gauge Theory[J]. Chinese Physics C, 1997, 21(6): 506-512. shu

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Received: 1900-01-01
Revised: 1900-01-01

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Quantal Conserved Charges in Gauge Theory

Gao Haixiao ^,
Li Ziping

Corresponding author: Gao Haixiao,

Department of Applied Physics,Beijing Polytechnic University,Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-06-05

Abstract: Starting from the configuration-space generating functional for gauge theory obtained by using the Faddeev-Popov method,the conservation laws at the quantum level for the gauge-invariant system are derived.Appling to non-Abel Chern-Simons(CS)theory,the quantum BRS conserved charge and quantuml conserved angular momentum for the non-Abelian CS fields coupled to Fermion field are deduced.The property of fractional spin in CS theory is discussed.